How to Find GCF of 2927/283, 9557/6708?

GCF of 2927/283, 9557/6708

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2927/283, 9557/6708 i.e 1/1898364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2927/283, 9557/6708.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2927/283,9557/6708?

Given fractions are 2927/283,9557/6708

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2927/283,9557/6708, numerators are 2927,9557

Denominators are 283,6708

The GCF of 2927,9557 is 1 .

LCM of 283,6708 is 1898364.

The greatest common factor of 2927/283,9557/6708 = [GCF of 2927,9557]/[LCM of 283,6708]= 1/1898364

Therefore, the GCF of 2927/283,9557/6708 is 1/1898364.

Greatest Common Factor of 2927,9557

To find the highest common factor of 2927,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 2927 are 1, 2927

The factors of 9557 are 1, 19, 503, 9557

The HCF of 2927,9557 is 1.

Lets's calculate GCF of 2927,9557

Greatest Common Factor (GCF) of 2927,9557 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2927,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 2927

1,2927

Now, list down the factors of 9557

1,19,503,9557

Greatest Common Factor

We found the factors 2927,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,9557 is 1.

Lets's calculate LCM of 283,6708

Lowest Common Multiple of 283,6708 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1898364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1898364

Therefore, the GCF of Fractions 2927/283,9557/6708 is 1/1898364

Least Common Multiple of 283,6708 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 283,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,6708) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(283,6708) x common factors =1 x 1 = 1

LCM(283,6708) = ( 283 × 6708 ) / 1

LCM(283,6708) = 1898364 / 1

LCM(283,6708) = 1898364

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FAQs on GCF of Fractions of 2927/283, 9557/6708

1. What is the HCF of 2927,9557?

The HCF of 2927,9557 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2927/283, 9557/6708?

Answer: GCF of Numerators as per given numbers 2927/283, 9557/6708 is

GCF of Numerators i.e. for 2927,9557 is 1

LCM of denominators i.e. for 283,6708 is 1898364.

Thus, GCF of Fractions is 1/1898364.Finally, GCF of Fractions for 2927/283, 9557/6708 is 1/1898364.